Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400t |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-723136637440000000 = -1 · 215 · 57 · 710 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,181300,28126000] |
[a1,a2,a3,a4,a6] |
j |
10941048/12005 |
j-invariant |
L |
1.5157077787073 |
L(r)(E,1)/r! |
Ω |
0.18946346984789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400x3 39200g2 15680d4 11200o4 |
Quadratic twists by: -4 8 5 -7 |